A builder buys a 21.5 acres of land to develop a new community of homes and parks.The builder plans to use 0.75 of the land for a park.How many acres will he use for the park?

As seen in the illustration, the polygon's surface area is 12 + 4√5 square units.

Therefore the correct option is C) 12 + 4√5 square unit

To learn more about polygon's surface area, refer to:

https://brainly.com/question/20110859

#SPJ1

22 cards were sold by the Anand.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Bob's Gift Shop sold 550 cards for Mother's Day.

One salesman, Anand, sold 4% of the cards sold for Mother's Day.

We need to find the number of cards sold by Anand

Convert 4% to decimal by dividing 4 by 100

4/100=0.04

Now multiply 0.04 with 550

0.04×550

22

Hence, 22 cards were sold by the Anand.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

On solving the inequality we know, Barrett should work 25 hours tutoring and 10 hours cutting grass to make $400.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality results from a lack of balance.

Solution:-

given,

z=hours of cutting grass

y=hours of tutoring

Two equation can be made using given condition

15z+10y=400

and

z+y=35

Solving both equation simultaneously,

we get

y=25

z=10

To know more about inequality visit:-

brainly.com/question/28823603

#SPJ1

Answer:

1/2 or 0.5 inches per hour

Step-by-step explanation:

5 divided by 10 will get you this answer

The product of given equation is      [tex]6t^{4} + 6t^{2} bs-8bst^{2} -8b^{2} s^{2}[/tex] .

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

[tex]=(6t^{2} -8bs) (t^{2} + bs)[/tex]

[tex]=6t^{2} (t^{2} + bs) -8bs(t^{2} + bs)[/tex]

[tex]=6t^{4} +6t^{2}bs -8bst^{2} -8b^{2} s^{2}[/tex]

To learn more about algebra visit:

brainly.com/question/24875240

#SPJ1

Answer:

2x^3+5x^2−28x−15

Step-by-step explanation:

Answer:

3 stacks of paper can be purchased.

Step-by-step explanation:

Start by setting up the inequality:

15 = 3.79x

Now that you have set up the inequality, go to solve the inequality.

You should get the answer 3.958 (rounded). Since Mr. Valentino can not by a half stack of paper, drop the decimal so we are left with 3.

I would describe the graph as a straight line increasing, with money on y and stacks of paper on the x axis

Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4

A linear equation o line can be expressed in the form y = mx + b

where

The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.

In this case, you know:

So, the line can be expressed as:

y=7/10x -4

Expresed in standard form:

y - 7/10x= -4

Learn more about standard form of a line:

brainly.com/question/1463082

brainly.com/question/29231401

#SPJ1

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices. Its opposite sides are parallel to each other. We can also think of a square as a rectangle with equal length and breadth.

The area of a square is given as side².

We have,

The total amount of wood.

= 4 x 65.5

= 262 inches.

Frame:

Side = 5.25 inches

The perimeter of the frame.

= 4 x 5.25

= 21 inches

Now,

Sandbox:

The wood used for the sandbox.

= 11 x 21

= 231 inches

The remaining wood.

= 262 - (21 + 231)

= 262 - 252

= 10 inches

Thus,

The remaining wood is 10 inches.

To learn more about squares refer to:

brainly.com/question/22964077

#SPJ1

The candy bar will each person get will be 4 / 15.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally.

The amount of candy shared by each person will be,

Amount = ( 4 / 5 ) ÷ 3

Amount = 4 / 15

To know more about an expression follow

https://brainly.com/question/11119784

#SPJ1

'Substitution Property of Equality'  illustrates the statement "If AC = 14, then BD + AC = BD + 14" from the question.

What is property of equality?

The equality characteristics define the relationship between two equal quantities. If a mathematical operation is applied to one side of an equation, it must also be applied to the opposing side to keep the equation balanced.

The Substitution Property of Equality states that if we know that two expressions are equal, we can substitute one of them for the other in any equation.

In this statement, it is stated that "If AC = 14, then BD + AC = BD + 14." Here we substitute 14 for AC in BD + AC = BD + 14. Which means that if we know that AC = 14, we can substitute 14 for AC in any equation, and the equation will still be true.

Therefore, given statement illustrates the Substitution Property of Equality.

To know more about Equality visit,

brainly.com/question/28293087

#SPJ1

Answer:

Step-by-step explanation:

The terms are ordered from greatest to least degree.

The translation of the sentence "4 times as large as the product of w and 11" to an expression is 44w

From the question, we have the following parameters that can be used in our computation:

“4 times as large as the product of w and 11.”

The number is represented with w

So, the statement remains unchanged as follows

“4 times as large as the product of w and 11.”

4 times as large means 4 *

So, we have the following representation

4 times as large as the product of w and 11 ⇒ 4 * the product of w and 11.

the product of means that we multiply

4 times as large as the product of w and 11 ⇒ 4 * w * 11

Evaluate the products

This gives

4 times as large as the product of w and 11 ⇒ 44w

Hence, the expression is 44w

Read more about word problem at

brainly.com/question/1781657

#SPJ1

Answer:

Add a file to it.

Step-by-step explanation:

We can't see anything.

The mapping does not represents a function

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

In this case, for the mapping represent a function, every element in set A must be mapped to exactly one element in set B.

Since there is more than one arrow from set A (5) pointing to different values in set B (-2 and 9), then it is not a function. Also, the two different value (5 and 7) in set A has the same value (-2) in set B.

Learn more about function on:

brainly.com/question/29233399

#SPJ1

40 minutes of 8 hours as a fraction is 1/12.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).

Given are 40 minutes to 8 hours.

We can write -

(40 minutes/8 hours)

{40 minutes/(8 x 60)}

(40/480)

1/12

Therefore, 40 minutes of 8 hours as a fraction is 1/12.

To solve more questions on fractions, visit the link below -

https://brainly.com/question/10354322

#SPJ1

The answer of x is 100 degree.We can find by using percentage formula.

Percentage is a value or ratio that shows a fraction of 100. Percent means per 100. It does not have any units.If we have to calculate percent of a number then we  divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

The formula used to calculate percentage is: (value/total value)×100%.The most basic application of percentages is to compare one quantity against another. When we want to talk about data in this way we use it with the word, "of." To use this data as an example, we would say, for example, "25% of people prefer cake," as in this example.

Now we have

100 = x of 100%

100= x * 100/100

100=  x

Hence we can calculate value of x.

To learn more about percentage visit;

https://brainly.com/question/29306119

#SPJ1

Step-by-step explanation:

3 1/7 × [3 1/3 × (2/3 + 1/6) - 1 5/18] ÷ 2 3/7

well, first we have to bring everything to true fractions.

then we need to bring all fractions we need to add or subtract to the same denominators.

and then we simply calculate.

3 1/7 = (3×7 + 1)/7 = 22/7

3 1/3 = (3×3 + 1)/3 = 10/3

1 5/18 = (1×18 + 5)/18 = 23/18

2 3/7 = (2×7 + 3)/7 = 17/7

22/7 × [10/3 × (2/3 + 1/6) - 23/18] ÷ 17/7

to be able to add 2/3 and 1/6 we need to bring the to the same denominator, with its simply 6.

2/3 + 1/6 = 2/2 × 2/3 + 1/6 = 4/6 + 1/6 = 5/6

22/7 × [10/3 × 5/6 - 23/18] ÷ 17/7

22/7 × [50/18 - 23/18] ÷ 17/7

22/7 × 27/18 ÷ 17/7

22/7 × 27/18 × 7/17

22/17 × 27/18 = 22/17 × 3/2 = 66/34 = 33/17

so, the result is 33/17 = 1 16/17

Answer:

light

Step-by-step explanation:

it has kinetic energy

Answer:

Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer

The value of x is -4 and the value of y is 1.

In order to use the elimination method, rearrange the given linear equations.

y - 3x = 13 equation 1

y - 2x = 9 equation 2

Subtract equation 2 from equation 1:

-x = 4

x = -4

Substitute for x in equation 2

y - 2(-4) = 9

y  + 8 = 9

y = 9 - 8

y = 1

To learn more about the elimination method, please check: https://brainly.com/question/14619835

#SPJ1

Answer:

$5043

Step-by-step explanation:

To find the value of the investment after 12 years, you can use the following formula:

A = P * (1 + r/n)^(nt)

Where:

A = final amount

P = principal

r = interest rate

n = number of times the interest is compounded per year

t = number of years

Plugging in the values from the problem, we get:

A = 3600 * (1 + 3.5/100)^(1*12)

Solving this equation, we get:

A = $5043.33

So, after 12 years, the investment will be worth $5043.33.

Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.

In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:

Translating the word problem into an algebraic equation, we have the following:

x - 1 = 3y                   .....equation 1.

4x + y = 95              .......equation 2.

Making x the subject of formula in equation 1, we have:

x = 3y + 1      .......equation 3.

Substituting equation 3 into equation 2, we have:

4(3y + 1) + y = 95

12y + 4 + y = 95

13y = 95 - 4

13y = 91

y = 91/13

y = 7.

For the value of x, we have:

x = 3y + 1

x = 3(7) + 1

x = 21 + 1

x =22.

Read more on equation here: brainly.com/question/15527616

#SPJ1

Answer: A

Step-by-step explanation: 2.5 inches = 63.5 millimeters

The complete program is

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

From the question, we have the following parameters:

The program that does this is:

intInput = int(input("Integer between 32 and 126: "))

floatInput = float(input("Float input: "))

charInput = input("Character input: ")[0]

strInput = input("String input: ")

print(intInput, floatInput, charInput, strInput)

See attachment for complete program and the output of the program execution

Read more about programs at

https://brainly.com/question/20734416

#SPJ1

The number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .

What is area ?

Area can be defined as the total space taken by  a 2-dimensional surface or shape of an object.

Given

Jake has a floor that is 64 square feet.

He wants to tile the entire floor using large tiles that measure 3 feet by 5 feet.

The area of 3 feet by 5 feet could be  = 3 * 5 = 15 square meters.

number of tiles required to fill the space could be  = 64 / 15

that is 4.3 (approx )

Hence , the number of tiles required to fill the space while also requiring the fewest tiles to be cut is 5 .

To learn more about area from the given link

https://brainly.com/question/12187609

#SPJ1

Answer:

-15y

Step-by-step explanation:

The square root of any squared number is always the number itself.

So in this case, it is -15y

Brainliest please. It'll help a lot.

Answer:

---------------------------------

Simplify the expression:

We know the square root is never negative and since y is positive, we get:

Answer:

d

Step-by-step explanation:

The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:

x = 2; y = 5/6

k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,

y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12

Answer:

To solve this equation, we first need to isolate the ln term on one side of the equation. To do this, we can subtract ln 4 from both sides to get:

ln 4 - ln x - ln 4 = 2 - ln 4

This simplifies to:

-ln x = 2 - ln 4

Next, we can add ln 4 to both sides to get:

-ln x + ln 4 = 2

This simplifies to:

ln 4 - ln x = 2

Now, we can apply the identity ln a - ln b = ln(a/b) to both sides of the equation to get:

ln(4/x) = 2

To solve for x, we can apply the inverse logarithm function (exp) to both sides:

4/x = exp(2)

This simplifies to:

x = 4/exp(2)

Finally, we can evaluate this to get the value of x:

x = 4/exp(2) = 4/7.38905609893065

So the solution is x = 4/7.38905609893065.

Step-by-step explanation:

On solving the provide the question, we can say that - the value of the following function is f(x) = -5x - 1.

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

[tex]x = -2, y = 9; x = -1 , y = 4; x =0, y = -1.[/tex]

x = 0 , y = -1 so c = -1.

slope of line [tex]= (4-9) / (-1-(-2)) = -5/ 1 = -5.[/tex]

function f(x) = -5x - 1.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

Step-by-step explanation:

1. (i) f(-1) = 3(-1) + 1 = -2 and f(3) = 3(3) + 1 = 10

(ii) To find the value of x for which f(x) = 7, we can set f(x) equal to 7 and solve for x:

3x + 1 = 7

3x = 6

x = 2

2. (i) Q = {x² - 2 | x E P} = {(-2)² - 2, (-1)² - 2, (0)² - 2, (1)² - 2, (2)² - 2} = {4, 0, -2, -1, 2}

(ii) As f(x)=x²-2, and P = {-2,-1,0,1,2} mapping into Q is {-2,-1,0,1,2} to {4,0,-2,-1,2}

3. (i) f(1 + x) = 2(1 + x) - 1 = 2x + 1

(ii) To find the range of values of x for which f(x) < -3, we can set f(x) equal to -3 and solve for x:

2x - 1 < -3

2x < -2

x < -1

so x can be any value less than -1

(iii) f(x) - g(x) = (2x - 1) - (x² + 1) = 2x - x² - 2

4. (i) f(-1) + 1 = 2(-1) - 1 + 1 = -1

(ii) To solve f(x) = g(-2), we can substitute the expressions for f(x) and g(x) into the equation:

2x - 1 = 3(-2) + 1

2x - 1 = -5

2x = -6

x = -3

5. f(x) = px + q, given that f(2)= 4 and f(4) == 10

so

4 = 2p + q

10 = 4p + q

solving for p and q we get p = 3 and q = -2

6. (i) f(--3) = 3(-3)² - 5(-3) = -27

7. (i) To solve f(x) = g(-2/-4), we can substitute the expressions for f(x) and g(x) into the equation:

x-2 = (1/4)x² - 1

x-2 = x²/4 - 1

4x-8 = x²-4

x²-4x+4 = 0

x = 2, -2

(ii) To solve f(x) + g(x) = 0

x-2 + x²-1 = 0

x²-2x+1 = 0

(x-1)² = 0

x = 1

for f(x) = -² 3 the expression does not make sense, but assuming the -² is just typo then we can solve for x by substituting f(x) = -3

into the expression of f(x) = 3x² - 5x

3x² - 5x = -3

3x² - 5